Syllogism Syllogism Questions with Answers

(Q. 1 – 5) : In each of the questions below are given two or more statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be a at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

  1. Statements:No giraffe is a leopardAll leopards are kangaroos All kangaroos are wolfs
    Conclusions:
    I. All kangaroos can never be giraffes
    II. All giraffes are definitely wolfs.

A.) If only conclusion I follows.
B.) If only conclusion II follows.
C.) If either conclusion I or conclusion II follows.
D.) If both conclusions I and II follows.
Answer: Option ‘A’
(i)  All pages are markers     –> Universal Affirmative (A – type).
(ii) Some fruits are apples    –> Particular Affirmative (I – type)
(iii)No book is a page         –> Universal Negative (E – type).
(iv) Some books are  not pages –> Particular Negative (O – type).

No giraffe is a leopard
All leopards are kangaroos

E + A ⇒ O1 – type of Conclusion ” Some kangaroos are not giraffes.”
This Conclusion implies that “All kangaroos can never be giraffes.”
All leopards are wolfs.
All kangaroos are wolfs

A + A ⇒ A – type of conclusion ” All leopards are wolfs.”

  1. Statements:Some fruits are mangos.
    All mangos are guavas.
    No guava is a banana.

    Conclusions:
    I. All guavas are fruits.
    II. Some guavas are fruits

    • If only conclusion I follows.
    • ) If only conclusion II follows.
    • ) If either conclusion I or conclusion II follows.
    • ) If both conclusions I and II follows.

Answer: Option ‘B’
(i)  All pages are markers     –> Universal Affirmative (A – type).
(ii) Some fruits are apples    –> Particular Affirmative (I – type)
(iii)No book is a page         –> Universal Negative (E – type).
(iv) Some books are  not pages –> Particular Negative (O – type).

Some fruits are mangos.
All mangos are guavas.
I + A => I – type of conclusion
“Some fruits are guavas”.
Conclusion II is Converse of it.
All mangos are guavas
No guava is a banana.
A + E => E – type of conclusion
“No mango is a banana

  1. 3. Statements:Some fruits are mangos.
    All mangos are guavas.
    No guava is a banana.
    Conclusions:
    I. All fruits are bananas.
    II. No mango is a banana.

A.) If only conclusion I follows.
B.) If only conclusion II follows.
C.) If either conclusion I or conclusion II follows.
D.) If both conclusions I and II follows.
Answer: Option ‘B’
(i)  All pages are markers     –> Universal Affirmative (A – type).
(ii) Some fruits are apples    –> Particular Affirmative (I – type)
(iii)No book is a page         –> Universal Negative (E – type).
(iv) Some books are  not pages –> Particular Negative (O – type).
All mangos are guavas.
No guava is a banana

A + E => E – type of Conclusion
“No mango is a banana.”
This is Conclusion II.

  1. Statements:All locks are keys.
    Some keys are pockets.

    Conclusions:
    I. No pocket is lock.
    II. At least some pockets are keys.

A.) If only conclusion I follows.
B.) If only conclusion II follows.
C.) If either conclusion I or conclusion II follows.
D.) If both conclusions I and II follows.
Answer: Option ‘B’

(i)  All pages are markers     –> Universal Affirmative (A – type).
(ii) Some fruits are apples    –> Particular Affirmative (I – type)
(iii)No book is a page         –> Universal Negative (E – type).
(iv) Some books are  not pages –> Particular Negative (O – type).

All locks are keys
Some keys are pockets.
A + I => No conclusion
Conclusion II is Converse of the second Premise.

  1. Statements:No books is a pen.
    All pens are pencils
    All pencils are erasers.

    Conclusions:
    I. All pens are erasers.
    II. At least some erasers are pencils.

A.) If only conclusion I follows.
B.) If only conclusion II follows.
C.) If either conclusion I or conclusion II follows.
D.) If both conclusions I and II follows.

Answer: Option ‘D’
(i)  All pages are markers           –> Universal Affirmative (A – type).
(ii) Some fuits are apples          –> Particular Affirmative (I – type)
(iii)No book is a page                 –> Universal Negative (E – type).
(iv) Some books are  not pages –> Particular Negative (O – type).

All pens are pencils
All pencils are erasers.
A + A => A – type of Conclusion
“All pens are erasers.”
This is conclusion I.
Conclusion II is Converse of the second Premise.

  1. Statements:All pens are books
    Some pencils are pens
    Conclusions:
    some books are pencils
    2. Some pencils are books
    3. All pens are pencils
    4. None

A.) 1
B.) 2
C.) 3
D.) 4
Answer: Option ‘B’
Some pencils are books

  1. Statements:
    All pens are books
    No pencils are books
    Conclusion:1. All books are pencils
    2. All pencils are books
    3. Some pencils are books
    4. None

A.) 1
B.) 2
C.) 3
D.) 4
Answer: Option ‘C’
Some pencils are books

  1. Statements:No mat is pot
    All pots are bats
    Conclusion:
    1. No mats are bats
    2. No bats are mats
    3. Some bats are mats
    4. Some bats are not mats

A.) 1
B.) 2
C.) 3
D.) 4
Answer: Option ‘D’

Some bats are not mats

  1. Statements:Some tables are trees
    Some trees are flowers
    All flowers are jungles
    Conclusion:
    1. Some jungles are tables
    2. Some trees are jungles
    3. Some flowers are tables
    4. All jungles are flowers

A.) Only 2 follows
B.) Only 1 and 2 follows
C.) Only 3 follows
D.) None of these
Answer: Option ‘A’
Only 2 follows

  1. Statements:All benches are cots

    No cot is lamp

    Some lamps are candles

    Conclusions:

    1. some cots are candles

    2. Some candles are cots

A.) If only conclusion 1 follows
B.) If only conclusion 2 follows
C.) If either conclusion 1 or 2 follows
D.) If neither conclusion 1 nor 2 follows
D.) If neither conclusion 1 nor 2 follows
Answer: Option ‘D’
If neither conclusion 1 nor 2 follows

  1. Statements:All the actors are girls.
    All the girls are beautiful.
    Conclusions:
    (i) All the actors are beautiful.
    (ii) Some girls are actors.

A) Only conclusion (i) follows
B.Only conclusion (ii) follows
C. Either (i) or (ii) follows
D.Both (i) and (ii) follow
Ans:D
Explanation:
From the figure below, we conclude that both (i) and (ii) follows.

  1. Statements:All the windows are doors. No door is a wall.
    Conclusions:
    (i) Some windows are walls.
    (ii) No wall is a door.

A.Only conclusion (i) follows
B.Only conclusion (ii) follows
C.Either (i) or (ii) follows
D.Neither (i) nor (ii) follows.
Ans:B

  1. Statements:All cups are books. All books are shirts.
    Conclusions:
    (i) Some cups are not shirts.
    (ii) Some shirts are cups

A. Only conclusion (i) follows
B. Only conclusion (ii) follows
C. Either (i) or (ii) follows
D. Neither (i) nor (ii) follows
Ans:B
Explanation:
From the figure below, we conclude that only conclusion(ii) follows.

(Q.11 – 15) : In each question below are four statements followed by four conclusions numbered I, II, III and IV. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four given statements disregarding commonly known facts.

  1. Statements :All belts are rollers.Some rollers are wheels.All wheels are mats. Some mats are cars.Conclusion :

    I. Some mats are rollers.
    II. Some mats are belts.
    III. Some cars are rollers.
    IV.  Some rollers are belts.

A.) Only I and II follows
B.) Only I, III and IV follows
C.) Only I and IV follow
D.) Only II, III and IV follow
Answer: Option ‘C’

(i)  All pages are markers     –> Universal Affirmative (A – type).
(ii) Some fruits are apples    –> Particular Affirmative (I – type)
(iii)No book is a page         –> Universal Negative (E – type).
(iv) Some books are  not pages –> Particular Negative (O – type).
Some rollers are wheels.
All wheels are mats.

I + A => I – types of Conclusion
“Some rollers are mats.”
Conclusion I is Converse of it.
Conclusion IV is Converse of the first Premise.

  1. Statements :All bulbs are wires. No wire is cable. Some cables are paints.Conclusions :

    I. Some paints are cables.
    II. Some wires are bulbs.
    III. Some brushes are wires.
    IV. Some cables are bulbs.

A.) None follows
B.) Only I and II follow
C.) Only II follows
D.) Only III follows
Answer: Option ‘B’
All bulbs are wires.
No wire is cable
.
A + E => E – type of Conclusion
“No bulb is cable.”
 Some cables are brushes
All brushes are paints.

I + A => I – type of Conclusion
“Some cables are paints.”
Conclusion I is Converse of it.
Conclusion II is Converse of the first Premise.

  1. Statements :All papers are bottles. All bottles are cups. Some cups are jugs. Some jugs are plates.

    Conclusions :

    I. Some plates are cups.
    II. Some plates are bottles.
    III. Some cups are papers.
    IV. Some bottles are papers

A.) Only III and IV follows
B.) Only I and II follows
C.) Only I and III follows
D.) Only II and IV follows
Answer: Option ‘A’

All papers are bottles.
All bottles are cups.

A + A => A – type of Conclusion
“All papers are cups.”
Conclusion III is Converse of it.
Conclusion IV is Converse of the first Premise.

  1. Statements :Some birds are goats. Some goats are horses. Some horses are lions. Some lions are tigers.

    Conclusions :

    I. Some tigers are goats.
    II. No tiger is goat.
    III. Some lions are birds.
    IV. No lion is bird.

A.) Only either I or II follows
B.) Only either III or IV follows
C.) Only either I or II and III or IV follows
D.) Only I and II follows
Answer: Option ‘C’
All the four Premises are Particular Affirmative (I – type)
No Conclusion follows from the two Particular Premises.
Conclusions I and II from Complementary Pair.
∴ either Conclusion I or II follows.
Similarly, Conclusions III and IV form Complementary Pair.
∴ either Conclusion III or IV follows.

  1. Statements:Some cows are crows.  Some crows are elephants.

    Conclusions:

    (i) Some cows are elephants.
    (ii) All crows are elephants.

A. Only conclusion (i) follows
B. Only conclusion (ii) follows
C. Either (i) or (ii) follows
D. Neither (i) nor (ii) follows
Explanation:
From the figure below, we conclude that both (i) and (ii) follows.

  1. Statements:All the pencils are pens.  All the pens are inks.

    Conclusions:

    (i) All the pencils are inks.
    (ii) Some inks are pencils.

A. Only conclusion (i) follows
B. Only conclusion (ii) follows
C. Either (i) or (ii) follows
D.Both (i) nor (ii) follows
Ans:D
Explanation: From the figure below, we conclude that both (i) and (ii) follows.

  1. Statements:Some dogs are bats. Some bats are cats.

    Conclusions:
    (i) Some dogs are cats.
    (ii) Some cats are dogs.

A. Only conclusion (i) follows
B .Only conclusion (ii) follows
C. Either (i) or (ii) follows
D. Neither (i) nor (ii) follows
Ans:D
Explanation:
From the figure below, we conclude that neither (i) nor (ii) follows.